Disclosed herein are unmixed fuel processors and methods for using the same. In one embodiment, an unmixed fuel processor comprises: an oxidation reactor comprising an oxidation portion and a gasifier, a CO2 acceptor reactor, and a regeneration reactor. The oxidation portion comprises an air inlet, effluent outlet, and an oxygen transfer material. The gasifier comprises a solid hydrocarbon fuel inlet, a solids outlet, and a syngas outlet. The CO2 acceptor reactor comprises a water inlet, a hydrogen outlet, and a CO2 sorbent, and is configured to receive syngas from the gasifier. The regeneration reactor comprises a water inlet and a CO2 stream outlet. The regeneration reactor is configured to receive spent CO2 adsorption material from the gasification reactor and to return regenerated CO2 adsorption material to the gasification reactor, and configured to receive oxidized oxygen transfer material from the oxidation reactor and to return reduced oxygen transfer material to the oxidation reactor.